1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?

2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.

Answers

Answer 1

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]


Related Questions

If 3x + 6y = 7z, find x + 2y in terms of z.

Answers

Answer:

Does the answer help you?

Find n.
help pleaseeee

Answers

Answer:

C

Step-by-step explanation:

Im pretty sure its c, i took this test not too long ago.

For the function, f(x) = -2x 2, find f(-3).

36
18
-18
-36

Answers

[tex]\pink{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \\ \\ \rm \: f(x) = - 2 {x}^{2} \\ \\ \rm \therefore \: f( - 3) = - 2 {( - 3)}^{2} \\ \rm = - 2 \times 9 \\ = - 18 \end{array}}}}[/tex]

Answer:

-18

Step-by-step explanation:

f(-3) = -2 (-3)²

= -2(9)

= -18

Directions - Write an equation in Slope-Intercept Form (y = mx + b) for the line with the given slope (m) and y-intercept (b).

​m = \frac{1}{2}
2
1

, b = 8

Answers

Answer:

y=(1/2)X+8

Step-by-step explanation:

Divide...................​

Answers

Answer:

Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

hope this helps

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities?

Answers

3.66 cm is the distance between these to cities .
____________________________
Hope it is helpful!!

There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?

Answers

Answer:

2/15

Step-by-step explanation:

2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens

P(red) = red/total = 4/10 = 2/5

Keep the pen

2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens

P(red) = red/total = 3/9 = 1/3

P(red,red) = 2/5 * 1/3 = 2/15

Help needed fast!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

It has to exceed not be same or equal to

answer: a) x>7

explanation: :))

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

A)

Step-by-step explanation:

Volume of a Rectangular Prism Formula: L x W x H

6 yd x 3 yd x 4 yd = 72 yd^3

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

Please help explanation if possible

Answers

Answer:

y = 3x+6

Step-by-step explanation:

refer to the picture

Answer:

y = 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so slope of parallel line is 3

Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)

y - 9 = 3(x - 1)

y - 9 = 3x - 3 ( add 9 to both sides )

y = 3x + 6 ← in slope- intercept form

Identify the slope and y-intercept: y = -x + 13 y help mee please​

Answers

Answer:

slope : -1, y-intercept : 13

Step-by-step explanation:

-x = -1 times x

+13 = 13 = y-intercept

Answer:

This equation is in slope intercept form, y=mx+b, where m is the slope and b is the y intercept.

So, the slope is -1 and the y intercept is 13.

Hope this helps!

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?

Answers

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have to the 8th power not simplify any part of the expression .

Answers

Answer: 43046721(t^8)

Step-by-step explanation:

So first, multiply 3 by t to get 3t. Then, multiply it again by 3 to get 9t. Raise it to the 8th power to get (9^8)(t^8). This gives you 43046721(t^8)

calculate the area of the given quadrilaterals.​

Answers

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

Are the ratios 1:2 and 13:18 equivalent?

Answers

Answer:

No.

Step-by-step explanation:

If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.

Therefore, these two ratios are not equivalent.

Answer:

123456789101112131415161718192021222324252627282930

Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?

Answers

Answer:

71 boxes

Step-by-step explanation:

1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)

2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)

3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.

71*12=852 70*12=840

Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.

Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used

Answers

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

Correct answer gets 5 stars

Answers

Answer:

C

Step-by-step explanation:

The slope is (6-8)/(0-(-2))=-1. The y intercept is (0,6)

fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.

plz sent answer fast ​

Answers

Answer:

Step-by-step explanation:

Find the square of 4100 by long division method

As 4100 is not a perfect square, it will have balance.

Now Find 65 * 65 = 4225

4225 - 4100 = 125

125 should be added to 4100 to get a perfect square

4225  = 5 * 5 * 13 * 13

[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]

Nearest square of 4100.

4225=(65)^2

[tex]\\ \sf\longmapsto 4225-4100[/tex]

[tex]\\ \sf\longmapsto 125[/tex]

125 should be added

a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?

Answers

hi

it a cube so it's height,length and width are the same.

if volume is 112 so one if this measure is : 112^(1÷3) =4,82

Where is the blue dot on the number line?
年十
?
7.5
____

Answers

Answer:

The blue dot is located at -3

PLEASE HURRY
Select the correct answer.


Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.


Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?


A.

18x + 24y ≤ 225

x + y ≥ 10

B.

24x + 18y ≥ 225

x + y ≤ 10

C.

18x + 24y ≥ 225

x + y ≤ 10

D.

24x + 18y ≤ 225

x + y ≥ 10

Answers

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation:

"He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation: "He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}​

Answers

Answer:

domain : {3,4,6}

range: {1,5,9}

Multiply. Write your answer in the simplest form.
3/8×3/7×4

Answers

Answer:

9/14

Step-by-step explanation:

3/8 * 3/7 * 4/1

~Multiply

9/56 * 4/1

~Multiply again

36/56

~Simplify

9/14

Best of Luck!

Answer:9/14

Step-by-step explanation:

3/8×3/7=9/56

9/56×4/1

(divide the 56 by 4 and the 4 by 4)

9/14 × 1/1 = 9/14

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table

Answers

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

Plssss help me with this question!!!!

Answers

Sum of two interior angles =exterior angle

[tex]\\ \sf\longmapsto x+14+x=32[/tex]

[tex]\\ \sf\longmapsto 2x+14=32[/tex]

[tex]\\ \sf\longmapsto 2x=32-14[/tex]

[tex]\\ \sf\longmapsto 2x=18[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

solve for each of the following equations. /2x+3/=10

Answers

Answer:

/2x+3/=10

2x+3=10 or 2x+3=-10

2x=10-3 or 2x=-10-3

2x=7 or 2x=-13

X=7÷2 or X=-13÷2

X=3.5 or X=-6.5

Someone help pleaseee

Answers

Answer:

the answer is 1/2 which loos like "D"

Step-by-step explanation:

the top ends up being x ^-8 and the denominator is x^-7

which is x^&/x^8 = 1/x = 1/2

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?
V=4/3 x(4)^3
V=4/3(4)^3
V=2/3(8)^3
V=2/3 x(8)^3

Answers

Answer:

Step-by-step explanation:

r = 4 in

[tex]Volume =\frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}\pi (4)^{3}[/tex]

Answer:

V = 4/3 pi (4)^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The radius is 4

V = 4/3 pi (4)^3

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